# Vectors cross product

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1. Mar 5, 2015

### Jeanclaud

1. The problem statement, all variables and given/known data

Find the set of points of M such that:
AM x BC=AM x AC (Vectors)

3. The attempt at a solution
AM x (BM+MC) =AMx(AM+MC)
AMxBM+AMxMC=AMxAM +AM x MC
Then AMxBM=0
MA X MB=0

I am new to this lesson and this is my first time i solve such a question and i had no idea how to solve it but i tried my best please some help give me some hints, Thank you.

Last edited by a moderator: Mar 5, 2015
2. Mar 5, 2015

### SammyS

Staff Emeritus
If AM × BM = 0 , then how is AM oriented relative to BM ?

3. Mar 5, 2015

Right-handed

4. Mar 5, 2015

### SammyS

Staff Emeritus
Do you mean that they form a right angle?

Yes, they do.

Look at two fixed points, A and B, in a plane. Consider where point M can lie, if vector, AMBM . Now consider all such locations point M can occupy.

5. Mar 5, 2015

### Jeanclaud

Thanks for the help.

6. Mar 5, 2015

### SammyS

Staff Emeritus
To be sure that you fully understand:

What is your final conclusion regarding the set of points on which point M can lie?